496465420502016 has 891 divisors, whose sum is σ = 1695026780121207. Its totient is φ = 139549950812160.

The previous prime is 496465420501997. The next prime is 496465420502027. The reversal of 496465420502016 is 610205024564694.

The square root of 496465420502016 is 22281504.

It is a perfect power (a square), and thus also a powerful number.

496465420502016 is a `hidden beast` number, since 4 + 9 + 6 + 4 + 6 + 5 + 420 + 5 + 0 + 201 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1063095118615 + ... + 1063095119081.

Almost surely, 2^{496465420502016} is an apocalyptic number.

496465420502016 is the 22281504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 496465420502016

496465420502016 is an abundant number, since it is smaller than the sum of its proper divisors (1198561359619191).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

496465420502016 is an frugal number, since it uses more digits than its factorization.

496465420502016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 496465420502016 in words is "four hundred ninety-six trillion, four hundred sixty-five billion, four hundred twenty million, five hundred two thousand, sixteen".